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112010020010112 = 2737377911026831
BaseRepresentation
bin11001011101111101011101…
…011101000011100010000000
3112200121001102212210212220210
4121131331131131003202000
5104140133010110310422
61034120405352234120
732410312466640240
oct3135753535034200
9480531385725823
10112010020010112
1132765201222974
121069036109b940
134a6666570aba3
141d93457481b20
15ce398720210c
hex65df5d743880

112010020010112 has 128 divisors (see below), whose sum is σ = 340120427673600. Its totient is φ = 31994391352320.

The previous prime is 112010020010089. The next prime is 112010020010113. The reversal of 112010020010112 is 211010020010211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (112010020010113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4644537 + ... + 15671367.

It is an arithmetic number, because the mean of its divisors is an integer number (2657190841200).

Almost surely, 2112010020010112 is an apocalyptic number.

112010020010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112010020010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170060213836800).

112010020010112 is an abundant number, since it is smaller than the sum of its proper divisors (228110407663488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112010020010112 is a wasteful number, since it uses less digits than its factorization.

112010020010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11030634 (or 11030622 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112010020010112 its reverse (211010020010211), we get a palindrome (323020040020323).

Subtracting 112010020010112 from its reverse (211010020010211), we obtain a palindrome (99000000000099).

The spelling of 112010020010112 in words is "one hundred twelve trillion, ten billion, twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 3779 7558 11337 15116 22674 26453 30232 45348 52906 60464 79359 90696 105812 120928 158718 181392 211624 241856 317436 362784 423248 483712 634872 725568 846496 1269744 1451136 1692992 2539488 3385984 5078976 10157952 11026831 22053662 33080493 44107324 66160986 77187817 88214648 132321972 154375634 176429296 231563451 264643944 308751268 352858592 463126902 529287888 617502536 705717184 926253804 1058575776 1235005072 1411434368 1852507608 2117151552 2470010144 3705015216 4234303104 4940020288 7410030432 9880040576 14820060864 29640121728 41670394349 83340788698 125011183047 166681577396 250022366094 291692760443 333363154792 500044732188 583385520886 666726309584 875078281329 1000089464376 1166771041772 1333452619168 1750156562658 2000178928752 2333542083544 2666905238336 3500313125316 4000357857504 4667084167088 5333810476672 7000626250632 8000715715008 9334168334176 14001252501264 16001431430016 18668336668352 28002505002528 37336673336704 56005010005056 112010020010112